9875 ÷ 9 = 1097 R2
Let's divide 9875 by 9.

Step 1:
9 goes into 9 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 9 from 9 to get 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 9

Step 2:
9 goes into 8 0 times with a remainder of 8.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 8 to get 8.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 9

Step 3:
9 goes into 87 9 times with a remainder of 6.
Write down 9 as next digit of of the result. 
Result so far: 109
Subtract 81 from 87 to get 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 9

Step 4:
9 goes into 65 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 1097
Subtract 63 from 65 to get 2.

The final result is 1097 with a remainder of 2.